Answer:
Step-by-step explanation:
To translate statements into expressions and equations:
1) Identify __KEY__ __WORDS____ that indicate the operation. 2) Write the numbers/variables in the correct order.
The SUM of _____5_______ and ______8______: _____5 + 8_____ The DIFFERENCE of ___n_____ and ____3______ : _____n – 3______ The PRODUCT of ____4______ and ____b – 1____: __4(b – 1)___
The QUOTIENT of ___4_____ and ____ b – 1_____: 4 ÷ (b – 1) or Write each verbal phrase as an algebraic expression.
1.thesumof8andt 8+t 3.theproductof5andb 5b
LESS THAN
MORE THAN
2.thequotientofgand15 4.thedifferenceof32andx 32-x
SWITCH THE the first number subtracted
ORDER OF THE TERMS!
from the second! 5. Eightmorethanx _x-8_
Write the phrase five dollars less than Jennifer earned as an algebraic expression.
6. Sixlessthanp __p-6___
Key Words five dollars less than Jennifer earned Variable Let d represent # of $ Jennifer earned Expression d–5 6. 14lessthanf f-14
8. 3 more runs than Pirates scored P + 3 10. Arthur is 8 years younger than Tanya
7.pmorethan10 10+p
9. 12 less than some number n – 12
11. Kelly’s test score is 6 points higher than Mike’s
IS,
equals,
is equal to
Substitute with equal sign. 8. The product of 7 and b is equal to 63.
7b = 63
10. The quotient of x and 7 is equal to 13. x/7 =13
7. 5 more than a number is 6. n+5=6
9. The sum of r and 45 is 79. r+45=79
TWICE = DOUBLE = 2 times a number = multiply by 2
Addition Phrases
Expression
Subtraction Phrases
Expression
8 more than a number
The sum of 8 and a number x increased by 8
the total of x and 8
x+8
The difference of r and 6
r decreased by 6
6 less than a number
6 subtracted from a number
r-6
Multiplication Phrases
Expression
Division Phrases
Expression
Twice a number
The product of 2 and n
2 multiplied by a number 2 times a number
2n
The quotient of z and 3 A number divided by 3 The ratio of z and 3
Practice: Underline key words. Write each phrase as an algebraic expression or equation.
11.
13.
15.
18.
20.
Translate each expression or equation into a word expression or statement.
22) 23) 24)
9y the product of 9 and number y________________ x – 8 = 14 _8 less than a number is 14.__
= 24 __the quotient of y and 12 is 24___
Sevenlessthananumberis15 n–7=15 7 less than m m – 7
12. Thetotalof5andc 5+c
14. Thesumofanumberand16is23n+16=23 16. The quotient of w and 10 is equal to 7 w/10 =7 19. $12 less than the original price is $48 p–12=48
21. (– 65) is 5 times a product of 5 and a number
the score increased by 8 points s + 8 17morethansomenumberis57 n–17=57 twice as many points as Bob has 2B
-65 = 5(5n)
Writing Two-Step Expressions and Equations less than twice a number Six x is four Two less than the quotient of 15 and a number 2x–6=4 –2=15
Nine times a number decreased by four
9n–4
Five times the sum of six and some number
5(6+n)
Twice the difference of y and three
2 ( y – 3)
The sum of 5 and product of 7 and x
5+7x 9–
The product of 4 and the difference of x and 3 The product of the difference of x and 3 and 4 4(x–3) (x–3)4
7. Five less than twice a number is 7. __2n – 5 = 7____
8. One less than the product of four and a number is 11. __4n – 1 = 11_
9. Ten more than the quotient of a number and 3 is 12. + 10 = 12__________
10. The sum of 9 and the quotient of x and 7 is 11. _9 + _= 11_________
11. The product of 2 and the sum of 5 and t is 8. ___2(5 + t) = 8___
12. Ten less than the quotient of a number and −2 is three ___ – 10 = 3_______ 13. 7(b + 2) _The product of 7 and the sum of b and 2_
YOU MUST USE PARENTHESES for · or ÷ THE (SUM) or (DIFFERENCE)!
The quotient of 7 and d decreased by 9
– 9
The difference of 9 and the quotient of s and –4
14. 2c – 5 __5 less than twice a number_________